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1116983952 = 243372947271
BaseRepresentation
bin100001010010011…
…1101001010010000
32212211210122221000
41002210331022100
54241421441302
6302500502000
736452130660
oct10244751220
92784718830
101116983952
11523565637
122720aa900
1314a549366
14a84c01a0
15680dd31c
hex4293d290

1116983952 has 320 divisors, whose sum is σ = 3885465600. Its totient is φ = 300464640.

The previous prime is 1116983939. The next prime is 1116983969. The reversal of 1116983952 is 2593896111.

It is a junction number, because it is equal to n+sod(n) for n = 1116983898 and 1116983907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4121577 + ... + 4121847.

It is an arithmetic number, because the mean of its divisors is an integer number (12142080).

Almost surely, 21116983952 is an apocalyptic number.

1116983952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116983952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942732800).

1116983952 is an abundant number, since it is smaller than the sum of its proper divisors (2768481648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1116983952 is a wasteful number, since it uses less digits than its factorization.

1116983952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 359 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 1116983952 is about 33421.3098486579. The cubic root of 1116983952 is about 1037.5657911925.

The spelling of 1116983952 in words is "one billion, one hundred sixteen million, nine hundred eighty-three thousand, nine hundred fifty-two".